Is there a Way to Align Camera to View and Fit the View?
First hit NumPad 0 to enter camera view, then press Home so the camera fills the window.
Now when you press Ctrl Alt NumPad 0 (or go to the camera view any other way) the camera will fill the screen.

If the camera is still not positing where you want it; then that means you are in Orthographic view. Hit NumPad 5 to switch to perspective view, and the camera will match your view.